What are the solutions to the equation 4x^5+5x^2-3x=0 ?

The solutions to the equation 4x^5+5x^2-3x=0 are x=0,x\approx 0.53463…,x\approx-1.22977…

Find the zeros of 4x^5+5x^2-3x=0

The zeros of 4x^5+5x^2-3x=0 are x=0,x\approx 0.53463…,x\approx-1.22977…

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4 x^{5} + 5 x^{2} - 3 x = 0

x = 0, x \approx 0.53463 \dots, x \approx - 1.22977 \dots

Solution steps

4 x^{5} + 5 x^{2} - 3 x = 0

Factor

4 x^{5} + 5 x^{2} - 3 x : x (4 x^{4} + 5 x - 3)

x (4 x^{4} + 5 x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 4 x^{4} + 5 x - 3 = 0

Solve

4 x^{4} + 5 x - 3 = 0 : x \approx 0.53463 \dots, x \approx - 1.22977 \dots

The solutions are

x = 0, x \approx 0.53463 \dots, x \approx - 1.22977 \dots

u^{4} = - 8 i

16 x^{4} + 8 x^{2} - 3 = 0

x^{3} - 3 x^{2} + 3 x - 6 = 0

k^{6} - 64 = 0

8 z^{3} - 27 = 0

What are the solutions to the equation 4x^5+5x^2-3x=0 ?
The solutions to the equation 4x^5+5x^2-3x=0 are x=0,x\approx 0.53463…,x\approx-1.22977…
Find the zeros of 4x^5+5x^2-3x=0
The zeros of 4x^5+5x^2-3x=0 are x=0,x\approx 0.53463…,x\approx-1.22977…